Dimensions of spline spaces over T-meshes

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:194

Article

Deng, JS ; Chen, FL ; Feng, YY

关键词: spline;    Bezier ordinate;    dimension;    T-mesh;   

DOI  :  10.1016/j.cam.2005.07.009

来源: Elsevier

【 摘 要 】

A T-mesh is basically a rectangular grid that allows T-junctions. In this paper, we propose a method based on Bezier nets to calculate the dimension of a spline function space over a T-mesh. When the order of the smoothness is less than half of the degree of the spline functions, a dimension formula is derived which involves only the topological quantities of the T-mesh. The construction of basis functions is briefly discussed. Furthermore, the dimension formulae for T-meshes after mesh operations, such as edge insertion and mesh merging, are also obtained. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

Free